Clarkson-McCarthy inequalities for \(l_p\)-spaces of operators in Schatten ideals. (English) Zbl 1310.46016
Summary: In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces \(l_q(S^p)\) of operators from Schatten ideals \(S^p\). We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces \(l_q(S^p)\) or from one such space into another. We also extend some inequalities for partitioned operators and for Cartesian decomposition of operators.
MSC:
| 46B20 | Geometry and structure of normed linear spaces |
| 46B28 | Spaces of operators; tensor products; approximation properties |
Keywords:
Clarkson-McCarthy inequalitiesReferences:
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